A class of semi-linear equations of evolution |
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Authors: | A Pazy |
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Institution: | (1) Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel |
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Abstract: | In this paper we prove existence, and study the asymptotic behavior of mild solutions of a class of semi-linear equations
of evolution which are characterized by the fact that the associated homogeneous linear problem “generates” a strongly continuous
semi-group of compact operators. We also prove a regularity result for which the associated homogeneous linear problem generates
a holomorphic semi-group. |
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Keywords: | |
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